What will be C.I. (in Rs.) on an amount of Rs | vedclass

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(C) Given: Principal $(P) = Rs. 10000$,Rate $(R) = 20 \% 	ext{ per annum}$,Time $(T) = 2 	ext{ years}$.Since the interest is compounded half-yearly:

Vedclass · Accepted Answer

$4641$

Vedclass · Answer

(C) Given: Principal $(P) = Rs. 10000$,Rate $(R) = 20 \% 	ext{ per annum}$,Time $(T) = 2 	ext{ years}$.Since the interest is compounded half-yearly:New Rate $(r) = \frac{20}{2} = 10 \% 	ext{ per half-year}$.New Time $(n) = 2 	imes 2 = 4 	ext{ half-years}$.The formula for Compound Interest $(C.I.)$ is $C.I. = P \left[ \left( 1 + \frac{r}{100} ight)^n - 1 ight]$.Substituting the values: $C.I. = 10000 \left[ \left( 1 + \frac{10}{100} ight)^4 - 1 ight]$.$C.I. = 10000 \left[ (1.1)^4 - 1 ight]$.$C.I. = 10000 \left[ 1.4641 - 1 ight]$.$C.I. = 10000 	imes 0.4641 = Rs. 4641$.

What will be $C.I.$ (in $Rs.$) on an amount of $Rs. 10000$ at the rate of $20$ $p.c.p.a.$ in two years if the interest rate is compounded half-yearly?

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